We look at the division of 500669 by 89 
Our goal is to divide 500669 by 89.

Step 1:
If we divide 5 by 89, we get 0 and a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Append the next digit (0) from the dividend to 5 and continue with: 50 / 89

Advancing to step 2:
If we divide 50 by 89, we get 0 and a remainder of 50.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 50, we get 50.
Take the next digit (0) from the dividend and append it to 50, then repeat: 500 / 89

On to step 3:
89 can be fit into 500 5 times, resulting in a remainder of 55.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
The remainder is 55 after subtracting 445 from 500.
Grab the next digit (6) from the dividend, add it to 55, then carry on: 556 / 89

Advancing to step 4:
89 goes into 556 6 times with a remainder of 22.
Use 6 as the next digit of our solution. 
Result so far: 56.0
Subtract 534 from 556 to get 22.
Take the next digit (6) from the dividend and append it to 22, then repeat: 226 / 89

Step 5:
89 goes into 226 2 times with a remainder of 48.
Use 2 as the next digit of our solution. 
Result so far: 562.0
Deduct 178 from 226 and we're left with 48.
Append the next digit (9) from the dividend to 48 and continue with: 489 / 89

Step 6:
When dividing 489 by 89, we get 5 with a remainder of 44.
The next digit of our result is 5. 
Result so far: 5625.0
The remainder is 44 after subtracting 445 from 489.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 7:
The number 89 fits into 440 4 times, leaving a remainder of 84.
Record the quotient 4 as the next digit in the result. 
Result so far: 5625.4
The remainder is 84 after subtracting 356 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Advancing to step 8:
840 divided by 89 is 9 with a remainder of 39.
Write down 9 as next digit of the result. 
Result so far: 5625.49
Subtracting 801 from 840 leaves us with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Let's proceed to step 9:
390 divided by 89 is 4 with a remainder of 34.
Record the quotient 4 as the next digit in the result. 
Result so far: 5625.494
Subtract 356 from 390 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 10:
340 divided by 89 is 3 with a remainder of 73.
Record the quotient 3 as the next digit in the result. 
Result so far: 5625.4943
Subtract 267 from 340 to get 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Going ahead to step 11:
89 can be fit into 730 8 times, resulting in a remainder of 18.
Write down 8 as next digit of the result. 
Result so far: 5625.49438
Subtracting 712 from 730 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 12:
When dividing 180 by 89, we get 2 with a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 5625.494382
Subtracting 178 from 180 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 13:
When dividing 20 by 89, we get 0 with a remainder of 20.
The next digit of our result is 0. 
Result so far: 5625.494382
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 14:
The number 89 fits into 200 2 times, leaving a remainder of 22.
Put 2 as the next digit of the answer. 
Result so far: 5625.49438202
Subtracting 178 from 200 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

The quotient of the division is 5625.49438202, and the remainder is 2.2e-08.